The measure of MN from the diagram is 6
<h3>Similarity theorem of triangles</h3>
From the given triangle, the expression below is true;
ML/LK = MN/NO
Given the following parameters
ML = 4
LK = 10
NO= 15
Substitute the given parameters into the formula
4/10 = MN/15
Cross multiply
10MN = 4 * 15
10MN = 60
MN = 6
Hence the measure of MN from the diagram is 6
Learn more on similar triangles here: brainly.com/question/14285697
Step-by-step explanation:
base is 12, hypotenuse is 20
so X² is h²-b²
so X=16
The television set has a rectangular shape. The diagonal of this rectangle along with its width and length together form a right angular triangle.
This means that we can apply the Pythagorean theorem which states that:
(diagonal)^2 = (length)^2 + (width)^2
Let the width be w. We know that the length is 0.75 times the width, this means that: length = 0.75 w
Substitute in the above equation:
(20)^2 = (0.75w)^2 + (w)^2
400 = 0.5625 w^2 + w^2
400 = 1.5625 w^2
w^2 = 256
w = 16
This means that the width of the screen is 16 in.
Answer:
There will be 213 songs in each group.
Step-by-step explanation:
Suppose, the number of songs in each group is 
As he has 4 different groups of songs, so the t<u>otal number of songs in all 4 groups</u> will be: 
Given that, the mp3 player has a <u>total of 852 songs</u>. So, the equation will be........

So, there will be 213 songs in each group.